Find the amplitude of the harmonic motion obtained by combining the motions
`x_(1) = (2.0 cm) sin omega t`
and `x_(2) = (2.0 cm) sin (omega t + pi//3)`.

Explanation

To find the amplitude of the harmonic motion obtained by combining the motions \( x_1 = (2.0 \, \text{cm}) \sin(\omega t) \) and \( x_2 = (2.0 \, \text{cm}) \sin(\omega t + \frac{\pi}{3}) \), we can follow these steps:

### Step 1: Identify the amplitudes and phase difference
The amplitudes of both motions are given as:
- \( A_1 = 2.0 \, \text{cm} \) for \( x_1 \)
- \( A_2 = 2.0 \, \text{cm} \) for \( x_2 \)

The phase difference \( \phi \) between the two motions is \( \frac{\pi}{3} \).
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